A small metal sphere initially carries a charge of

PHYSICS · Single correct · CBSE · Physics · Electric Charges and Fields · Electric Charges and Fields

Problem

A small metal sphere initially carries a charge of +3.0 nC+3.0\,\text{nC}. A positively charged rod is brought near the sphere, and while the rod is in place the sphere is momentarily connected to Earth. During this interval, 4.0×10104.0\times10^{10} electrons move between the sphere and Earth. The ground connection is then removed while the rod is still present, and finally the rod is withdrawn. What is the net charge on the sphere at the end of this entire sequence? (a) −6.4 nC-6.4\,\text{nC} (b) +6.4 nC+6.4\,\text{nC} (c) −3.4 nC-3.4\,\text{nC} (d) +9.4 nC+9.4\,\text{nC}

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